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Finding the Third Proportional to 114,311 and 244,384

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Solution

The third proportional to 114,311 and 244,384 is: 522,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,311 : 244,384 = 244,384 : x
  2. Step 2: Convert to fraction form
    114,311/244,384 = 244,384/x
  3. Step 3: Cross multiply
    114,311x = 244,384 × 244,384
  4. Step 4: Simplify right side
    114,311x = 59,723,539,456
  5. Step 5: Solve for x
    x = 59,723,539,456/114,311
  6. Step 6: Final answer
    x = 522,465.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.